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The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the velocity function v(t) of the partide at any time t 2 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction.

The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the velocity function v(t) of the partide at any time t 2 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function s(t) describes the motion of a particle along a line. s(t) = 12t - t2 (a) Find the velocity function v(t) of the partide at any time t 2 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction. Submit Answer
Transcribed Image Text:The function s(t) describes the motion of a particle along a line. s(t) = 12t - t2 (a) Find the velocity function v(t) of the partide at any time t 2 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction. Submit Answer
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